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Simplifying -5(12 + -3x) = 4x + 17 (12 * -5 + -3x * -5) = 4x + 17 (-60 + 15x) = 4x + 17 Reorder the terms: -60 + 15x = 17 + 4x Solving -60 + 15x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -60 + 15x + -4x = 17 + 4x + -4x Combine like terms: 15x + -4x = 11x -60 + 11x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -60 + 11x = 17 + 0 -60 + 11x = 17 Add '60' to each side of the equation. -60 + 60 + 11x = 17 + 60 Combine like terms: -60 + 60 = 0 0 + 11x = 17 + 60 11x = 17 + 60 Combine like terms: 17 + 60 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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